On Coupled System of Langevin Fractional Problems with Different Orders of μ-Caputo Fractional Derivatives-Reference-Cited by-同舟云学术

On Coupled System of Langevin Fractional Problems with Different Orders of μ-Caputo Fractional Derivatives

Published:2023-04-18 Issue:4 Volume:7 Page:337
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Almaghamsi Lamya¹,Alruwaily Ymnah²,Karthikeyan Kulandhaivel³^ORCID,El-hady El-sayed²⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

2. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka 72388, Saudi Arabia

3. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India

4. Basic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt

Abstract

In this paper, we study coupled nonlinear Langevin fractional problems with different orders of μ-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary conditions. In order to ensure the existence and uniqueness of the solutions to the problem at hand, the tools of the fixed-point theory are applied. An overview of the main results of this study is presented through examples.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/4/337/pdf

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